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2 years ago

Find the value using x

Mathematics

1 answer:

olga55 [171]2 years ago

7 0

<h3>Answer: 8</h3>

Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

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Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

3 years ago

I haven’t done this since 7th grade sorry I just don’t remember

Softa [21]

Elimination is x=3 since you can cancel our out the 3y just add the 8 and 2 which is 10 and 18 and 12 which is 30, devide and there ya go

5 0

2 years ago

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Show me how to work the equation 30-f+8f=30

ELEN [110]

30-f+8f=30

30+7f=30

Move +30 to the right side. Sign changes from +30 to -30.

30-30+7f=30-30

7f=0

Divde by 7

7f/7=0/7

Cross out 7 and 7, divide by 7. Becomes 1*1*f=f

f=0

Answer: f=0

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3 years ago

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Vaselesa [24]

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3 years ago

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Mr. Allen is planning a twenty question quiz worth 100 points. The quiz will contain True/False questions worth 3 points each an

andrey2020 [161]

Answer:

a)5 b)15

Step-by-step explanation:

5 times 11=55

15 times 3 is 45

add together is 100

5+15 is 20 questions

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3 years ago

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